414877 ÷ 7 
The aim is to understand the frequency of 7 in 414877.

Going ahead to step 1:
If we divide 4 by 7, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (1) from the dividend, add it to 4, then carry on: 41 / 7

Going ahead to step 2:
When dividing 41 by 7, we get 5 with a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 5.0
The remainder is 6 after subtracting 35 from 41.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 7

Let's proceed to step 3:
When dividing 64 by 7, we get 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 59.0
If we subtract 63 from 64, we get 1.
Grab the next digit (8) from the dividend, add it to 1, then carry on: 18 / 7

On to step 4:
7 goes into 18 2 times with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 592.0
If we take 14 away from 18, we end up with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 7

On to step 5:
If we divide 47 by 7, we get 6 and a remainder of 5.
The number 6 becomes the next digit in our result. 
Result so far: 5926.0
Subtract 42 from 47 to get 5.
Grab the next digit (7) from the dividend, add it to 5, then carry on: 57 / 7

On to step 6:
The number 7 fits into 57 8 times, leaving a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 59268.0
Subtract 56 from 57 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
10 divided by 7 is 1 with a remainder of 3.
The next digit of our result is 1. 
Result so far: 59268.1
Deduct 7 from 10 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 8:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 59268.14
The remainder is 2 after subtracting 28 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 9:
20 divided by 7 is 2 with a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 59268.142
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 10:
The number 7 fits into 60 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 59268.1428
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
If we divide 40 by 7, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 59268.14285
Subtracting 35 from 40 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 12:
50 divided by 7 is 7 with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 59268.142857
Deduct 49 from 50 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 13:
10 divided by 7 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 59268.1428571
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 14:
When dividing 30 by 7, we get 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 59268.14285714
Subtracting 28 from 30 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

The final outcome is 59268.14285714, with a leftover of 2e-09.